A) 25
B) 26
C) 1234
D) 2304
Correct Answer: D
Solution :
\[{{7}^{2n}}-48n-1\] \[={{(1+48)}^{n}}-48n-1\] \[{{=}^{n}}\,{{C}_{2}}\times {{48}^{2}}+{{\,}^{n}}{{C}_{3}}\times {{48}^{3}}+...+{{\,}^{n}}{{C}_{n}}\times {{48}^{n}}\] \[\Rightarrow \]\[{{7}^{2n}}-48n-1\]is divisible by \[\text{4}{{\text{8}}^{\text{2}}}\text{,i}\text{.e}\text{. 2304}\]
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